150035400 has 288 divisors, whose sum is σ = 548402400. Its totient is φ = 36633600.

The previous prime is 150035393. The next prime is 150035467. The reversal of 150035400 is 4530051.

150035400 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1402147 + ... + 1402253.

It is an arithmetic number, because the mean of its divisors is an integer number (1904175).

Almost surely, 2^150035400 is an apocalyptic number.

150035400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150035400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274201200).

150035400 is an abundant number, since it is smaller than the sum of its proper divisors (398367000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

150035400 is a wasteful number, since it uses less digits than its factorization.

150035400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 150035400 is about 12248.8938276075. The cubic root of 150035400 is about 531.3710792074.

Adding to 150035400 its reverse (4530051), we get a palindrome (154565451).

The spelling of 150035400 in words is "one hundred fifty million, thirty-five thousand, four hundred".